Inscribed Square in Circle - Circle Area to Square Side Length

Level 1

This math topic focuses on calculating the side length of a square inscribed in a circle based on the given area of the circle. There are multiple problems that vary slightly, each providing a different circle's area. The task requires understanding the relationship between the area of a circle and the side length of the inscribed square, likely involving concepts of geometry and algebra to solve the problems. Each problem offers multiple choice answers, testing comprehension and calculation precision in applying these mathematical principles.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Inscribed Square in Circle - Circle Area to Square Side Length Worksheet

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Inscribed Square in Circle - Circle Area to Square Side Length
1
Find the side length of a square inscribed in a circle of area 4
An svg image showing a math problem
a A LaTex expression showing 2square root of 8 over 2Pi
b A LaTex expression showing 2square root of 4 over 2Pi
c A LaTex expression showing 8Pi
d A LaTex expression showing 8 over Pi
e A LaTex expression showing {32 over 2 } to the power of 2 Pi
2
Find the side length of a square inscribed in a circle of area 5
An svg image showing a math problem
a A LaTex expression showing 2square root of 5 over 2Pi
b A LaTex expression showing {25 over 2 } to the power of 2 Pi
c A LaTex expression showing 10 to the power of 2 over 2 Pi
d A LaTex expression showing {10 over 2 } to the power of 2 Pi
e A LaTex expression showing 50Pi
f A LaTex expression showing 2square root of 10 over 2Pi
3
Find the side length of a square inscribed in a circle of area 3
An svg image showing a math problem
a A LaTex expression showing 4square root of 6
b A LaTex expression showing 18 over Pi
c A LaTex expression showing 5 to the power of 2 over 2 Pi
d A LaTex expression showing 2square root of 5 over 2Pi
e A LaTex expression showing 2square root of 3 over 2Pi
f A LaTex expression showing 2square root of 6 over 2Pi
4
Find the side length of a square inscribed in a circle of area 7
An svg image showing a math problem
a A LaTex expression showing 2square root of 7 over 2Pi
b A LaTex expression showing 2square root of 49 over 2Pi
c A LaTex expression showing 14 over 2 square root of 2
d A LaTex expression showing 98 over 2 square root of 2
e A LaTex expression showing {49 over 2 } to the power of 2 Pi
f A LaTex expression showing 2square root of 14 over 2Pi
5
Find the side length of a square inscribed in a circle of area 2
An svg image showing a math problem
a A LaTex expression showing 2square root of 4 over 2Pi
b A LaTex expression showing 2square root of 2 over 2Pi
c A LaTex expression showing 8 over Pi
d A LaTex expression showing 4 over 2 square root of 2
e A LaTex expression showing {4 over 2 } to the power of 2 Pi
f A LaTex expression showing 2Pi
6
Find the side length of a square inscribed in a circle of area 6
An svg image showing a math problem
a A LaTex expression showing {12 over 2 } to the power of 2 Pi
b A LaTex expression showing 2square root of 12 over 2Pi
c A LaTex expression showing 12 over Pi
d A LaTex expression showing 36 over 2 square root of 2
e A LaTex expression showing 2square root of 6 over 2Pi
f A LaTex expression showing 72
7
Find the side length of a square inscribed in a circle of area 8
An svg image showing a math problem
a A LaTex expression showing 32
b A LaTex expression showing 4square root of 32
c A LaTex expression showing 2square root of 16 over 2Pi
d A LaTex expression showing 2square root of 16 over 2
e A LaTex expression showing 2square root of 8 over 2Pi
f A LaTex expression showing {16 over 2 } to the power of 2 Pi